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Non-Negative Solutions of the Heat Equation on a Graph and Eigenvalue Bounds

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The aim of this note is to give a lower bound for the decay of non-negative solutions for the heat equation on a locally finite graph. Furthermore, we estimate the eigenvalues of the Dirichlet–Laplacian from below.

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  1. Institut für Algebra und Geometrie, KIT, Kaiserstr. 89-93, 76128, Karlsruhe, Germany

    Andreas Weber

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  1. Andreas Weber
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Correspondence to Andreas Weber.

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Weber, A. Non-Negative Solutions of the Heat Equation on a Graph and Eigenvalue Bounds. Results. Math. 57, 221–228 (2010). https://doi.org/10.1007/s00025-010-0022-8

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  • DOI: https://doi.org/10.1007/s00025-010-0022-8

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